7 papers
Improved Algorithms for Clustering with Noisy Distance Oracles
Pinki Pradhan, Anup Bhattacharya, Ragesh Jaiswal
Bateni et al. has recently introduced the weak-strong distance oracle model to study clustering problems in settings with limited distance information. Given query access to the st…
Fast -means Seeding Under The Manifold Hypothesis
Poojan Shah, Shashwat Agrawal, Ragesh Jaiswal
We study beyond worst case analysis for the -means problem where the goal is to model typical instances of -means arising in practice. Existing theoretical approaches provide…
A Quantum Approximation Scheme for k-Means
Ragesh Jaiswal
We give a quantum approximation scheme (i.e., -approximation for every ) for the classical -means clustering problem in the QRAM model with a…
Quantum (Inspired) -sampling with Applications
Poojan Shah, Ragesh Jaiswal
-sampling is a fundamental component of sampling-based clustering algorithms such as -means++. Given a dataset with points and a center set $C…
Robust-Sorting and Applications to Ulam-Median
Ragesh Jaiswal, Amit Kumar, Jatin Yadav
Sorting is one of the most basic primitives in many algorithms and data analysis tasks. Comparison-based sorting algorithms, like quick-sort and merge-sort, are known to be optimal…
Clustering What Matters in Constrained Settings
Ragesh Jaiswal, Amit Kumar
Constrained clustering problems generalize classical clustering formulations, e.g., -median, -means, by imposing additional constraints on the feasibility of clustering. Ther…